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Finding the Fourth Proportional to 191,431, 287,148.93 and 66,772

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Solution

The fourth proportional to 191,431, 287,148.93 and 66,772 is: 100,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,431 : 287,148.93 = 66,772 : x
  2. Step 2: Convert to fraction form
    191,431/287,148.93 = 66,772/x
  3. Step 3: Cross multiply
    191,431x = 287,148.93 × 66,772
  4. Step 4: Simplify right side
    191,431x = 19,173,508,353.96
  5. Step 5: Solve for x
    x = 19,173,508,353.96/191,431
  6. Step 6: Final answer
    x = 100,158.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.